85277253600 has 1296 divisors, whose sum is σ = 391154714496. Its totient is φ = 17635968000.

The previous prime is 85277253587. The next prime is 85277253601. The reversal of 85277253600 is 635277258.

85277253600 is a `hidden beast` number, since 8 + 527 + 72 + 53 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85277253601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 404157495 + ... + 404157705.

Almost surely, 2^85277253600 is an apocalyptic number.

85277253600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85277253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195577357248).

85277253600 is an abundant number, since it is smaller than the sum of its proper divisors (305877460896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85277253600 is a wasteful number, since it uses less digits than its factorization.

85277253600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 85277253600 in words is "eighty-five billion, two hundred seventy-seven million, two hundred fifty-three thousand, six hundred".